SUBSTRUCTURE MODE SYNTHESIS WITH OVERLAPPING CONNECTING ELEMENTS

An approach is presented to synthesize the modal properties of two substructures to obtain the modal properties of the combined structure. The substructures are assumed to be fixed at the interfacing boundary and have overlapping elements. The eigenproperties of the overlapping elements are also used in the synthesis process. The approach can be used with any finite element discretization scheme. The approach avoids the solution of a second eigenvalue problem by conventional means. Instead, the eigenvalues are obtained as the solution of characteristic equations and eigenvectors are defined in closed form. If the complete set of eigenproperties are used, the approach provides the exact eigenproperties. © 1990.